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Finding the Third Proportional to 486,767.25 and 726,099.75

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Solution

The third proportional to 486,767.25 and 726,099.75 is: 1,083,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,767.25 : 726,099.75 = 726,099.75 : x
  2. Step 2: Convert to fraction form
    486,767.25/726,099.75 = 726,099.75/x
  3. Step 3: Cross multiply
    486,767.25x = 726,099.75 × 726,099.75
  4. Step 4: Simplify right side
    486,767.25x = 527,220,846,950.06
  5. Step 5: Solve for x
    x = 527,220,846,950.06/486,767.25
  6. Step 6: Final answer
    x = 1,083,106.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.